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Finding the Fourth Proportional to 1,564.38, 2,346.57 and 468.72

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Solution

The fourth proportional to 1,564.38, 2,346.57 and 468.72 is: 703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.38 : 2,346.57 = 468.72 : x
  2. Step 2: Convert to fraction form
    1,564.38/2,346.57 = 468.72/x
  3. Step 3: Cross multiply
    1,564.38x = 2,346.57 × 468.72
  4. Step 4: Simplify right side
    1,564.38x = 1,099,884.29
  5. Step 5: Solve for x
    x = 1,099,884.29/1,564.38
  6. Step 6: Final answer
    x = 703.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.